Nuprl Lemma : member-es-interval
∀es:EO. ∀e,e',ev:E. ((ev ∈ [e, e']) ⇐⇒ e ≤loc ev ∧ ev ≤loc e' )
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
l_member: (x ∈ l),
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q
Lemmas :
es-E_wf,
event_ordering_wf,
assert-es-ble,
assert_wf,
es-ble_wf,
iff_wf,
or_wf,
es-locl_wf,
equal_wf,
false_wf,
es-le_wf,
nil_member,
l_member_wf,
nil_wf,
cons_member,
cons_wf,
member-es-before,
es-before_wf,
member_append,
append_wf,
member_filter,
filter_wf5,
es-le_weakening,
es-le-self,
and_wf
\mforall{}es:EO. \mforall{}e,e',ev:E. ((ev \mmember{} [e, e']) \mLeftarrow{}{}\mRightarrow{} e \mleq{}loc ev \mwedge{} ev \mleq{}loc e' )
Date html generated:
2015_07_17-AM-08_41_17
Last ObjectModification:
2015_01_27-PM-02_40_22
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